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Finding the Fourth Proportional to 2,065.20, 3,096.77 and 659.43

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Solution

The fourth proportional to 2,065.20, 3,096.77 and 659.43 is: 988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.20 : 3,096.77 = 659.43 : x
  2. Step 2: Convert to fraction form
    2,065.20/3,096.77 = 659.43/x
  3. Step 3: Cross multiply
    2,065.20x = 3,096.77 × 659.43
  4. Step 4: Simplify right side
    2,065.20x = 2,042,112.87
  5. Step 5: Solve for x
    x = 2,042,112.87/2,065.20
  6. Step 6: Final answer
    x = 988.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.